The Continuity of Linear and Sublinear Correspondences Defined on Cones
M. Aghajani, K. Nourouzi, D. O'Regan

TL;DR
This paper studies the continuity properties of linear and sublinear correspondences on cones in normed spaces, extending existing results to broader classes of such correspondences.
Contribution
It generalizes known results on sublinear correspondences and analyzes their continuity in the context of cones in normed spaces.
Findings
Established conditions for continuity of linear correspondences
Extended known results to sublinear correspondences on cones
Provided new insights into the structure of correspondences in normed spaces
Abstract
In this paper, we investigate the continuity of linear and sublinear correspondences defined on cones in normed spaces. We also generalize some known results for sublinear correspondences.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Logic · Matrix Theory and Algorithms
